Synchronization of nonlinear switched systems based on sampled-data
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- 英文论文题名：Synchronization of nonlinear switched systems based on sampled-data
- 论文作者：Pan Rui ; Zhou Lei
- 英文论文作者：Pan Rui ; Zhou Lei ; School of Electronics and Information ; Nantong University
- 年：2017
- 作者机构：School of Electronics and Information,Nantong University;
- 英文论文关键词：Synchronization ; Sampled-data control ; Input delay approach ; Exponential stability ; Average dwell time
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 语种：英文
- 分类号：TP273
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：6
- 文件大小：361k
- 原文格式：D
- 会议级别：全国
摘要
This paper addresses the master-slave synchronization problem of continuous time nonlinear switched systems. The idea is to use sampled-data of both the measurement output and switching signal to design feedback control laws with synchronizing controller gains. Firstly, based on input delay approach, the synchronization error system is modeled as a switched system with state delay and asynchronous switching signal, which is generated by merging switching signal with its sampling data. Then, the Lyapunov functional approach and the average dwell time method are used to analyze the exponential stability of the synchronization error system, and the design of the output feedback controller is given by solving a set of linear matrix inequalities. Finally, a numerical simulation for the longitudinal dynamics of an F-18 aircraft is present to verify the effectiveness of the proposed synchronization scheme.
This paper addresses the master-slave synchronization problem of continuous time nonlinear switched systems. The idea is to use sampled-data of both the measurement output and switching signal to design feedback control laws with synchronizing controller gains. Firstly, based on input delay approach, the synchronization error system is modeled as a switched system with state delay and asynchronous switching signal, which is generated by merging switching signal with its sampling data. Then, the Lyapunov functional approach and the average dwell time method are used to analyze the exponential stability of the synchronization error system, and the design of the output feedback controller is given by solving a set of linear matrix inequalities. Finally, a numerical simulation for the longitudinal dynamics of an F-18 aircraft is present to verify the effectiveness of the proposed synchronization scheme.
This paper addresses the master-slave synchronization problem of continuous time nonlinear switched systems. The idea is to use sampled-data of both the measurement output and switching signal to design feedback control laws with synchronizing controller gains. Firstly, based on input delay approach, the synchronization error system is modeled as a switched system with state delay and asynchronous switching signal, which is generated by merging switching signal with its sampling data. Then, the Lyapunov functional approach and the average dwell time method are used to analyze the exponential stability of the synchronization error system, and the design of the output feedback controller is given by solving a set of linear matrix inequalities. Finally, a numerical simulation for the longitudinal dynamics of an F-18 aircraft is present to verify the effectiveness of the proposed synchronization scheme.
引文
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[9]J.H.Park,Tae H.Lee,Finite-time adaptive synchronization of one side switching chaotic systems,Computational Science and Computational Intelligence,2:303-304,2014.
[10]Wang L,Shen Y,Zhang G,Synchronization of a class of switched neural networks with time-varying delays via nonlinear feedback control,IEEE Transactions on Cybernetics,46(10):2300-2310,2016.
[11]Yang J,Chen Y and Zhu F,Synchronous switching observer for nonlinear switched systems with minimum dwell time constraint,Journal of the Franklin Institute,352:4665-4681,2015.
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[14]Xiang Z R,Wang R H,Robust control for uncertain switched non-linear systems with time delay under asynchronous switching,IET Control Theory&Applications,3(8):1041-1050,2009.
[15]Zong G,Wang R,Zheng W X,et al,Finite-time stabilization for a class of switched time-delay systems under asynchronous switching,Applied Mathematics&Computation,219(11):5757-5771,2013.
[16]Zhai G S,Hu B,Kazunori Y,et al,Stability analysis of switched systems with stable and unstable subsystems:An average dwell time approach,International Journal of Systems Science,32(8):1055-1061,2001.
[17]Vu L,Morgansen K A,Stability of time-delay feedback switched linear systems,IEEE Transactions on Automatic Control,55(10):2385-2390,2010.
[2]Decarlo R,Branicky M S,Pettersson S,et al,Perspectives and results on the stability and stabilizability of hybrid systems,Proceedings of the IEEE,88(7):1069-1082,2000.
[3]Liberzon D,Morse A S,Basic problems in stability and design of switched systems,IEEE Control Systems Magazine,19(5):59-70,1999.
[4]Daafouz J,Riedinger P,Iung C,Stability analysis and control synthesis for switched systems:a switched Lyapunov function approach,IEEE Transactions on Automatic Control,47(11):1883-1887,2002.
[5]Chen X,Li Y,and Xiang J,Sampled-data synchronized output regulation of linear system based on input delay approach,in Proceedings of the 27th Chinese Control and Decision Conference,2015,688-693.
[6]Wang S,Zhang L,Jasra A,et al,Network-based finite-time sampled-data observer design for switched linear systems,IFAC Papersonline,48(28):590-595,2015.
[7]Iqbal M N,Xiao J,Xiang W,Finite-time H∞state estimation for discrete-time switched control systems under asynchronous switching,Asian Journal of Control,16(4):1112-1121,2014.
[8]Li Q,Yu R and Gao P,Master-slave H∞synchronization for switched systems with event-triggered sampling scheme,in Proceedings of the 33th Chinese Control Conference,2014,5834-5839.
[9]J.H.Park,Tae H.Lee,Finite-time adaptive synchronization of one side switching chaotic systems,Computational Science and Computational Intelligence,2:303-304,2014.
[10]Wang L,Shen Y,Zhang G,Synchronization of a class of switched neural networks with time-varying delays via nonlinear feedback control,IEEE Transactions on Cybernetics,46(10):2300-2310,2016.
[11]Yang J,Chen Y and Zhu F,Synchronous switching observer for nonlinear switched systems with minimum dwell time constraint,Journal of the Franklin Institute,352:4665-4681,2015.
[12]Wen S and Zeng Z,Lag synchronization of switched neural networks via action function and applications in image encryption,IEEE Transaction on Neural Networks and Learning System,26(7):1493-1501,2015.
[13]Wang R,Xing J and Zhou C,Finite-time asychronously switched control of switched systems with sampled-data feedback,Circuits System and Signal Process,33:3713-3738,2014.
[14]Xiang Z R,Wang R H,Robust control for uncertain switched non-linear systems with time delay under asynchronous switching,IET Control Theory&Applications,3(8):1041-1050,2009.
[15]Zong G,Wang R,Zheng W X,et al,Finite-time stabilization for a class of switched time-delay systems under asynchronous switching,Applied Mathematics&Computation,219(11):5757-5771,2013.
[16]Zhai G S,Hu B,Kazunori Y,et al,Stability analysis of switched systems with stable and unstable subsystems:An average dwell time approach,International Journal of Systems Science,32(8):1055-1061,2001.
[17]Vu L,Morgansen K A,Stability of time-delay feedback switched linear systems,IEEE Transactions on Automatic Control,55(10):2385-2390,2010.